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oai:www.ideals.illinois.edu:2142/105744 2023-07-11 col_2142_16340 col_2142_5131 com_2142_16339 com_2142_8903 com_2142_5130

Ando, Matthew Rezk, Charles Nevins, Thomas Berwick-Evans, Daniel Menon, Dileep D. 2019-11-26T20:49:00Z 2019-11-26T20:49:00Z 2021-11-27T10:15:09Z 2019-05-28 2019-08 Equivariant elliptic cohomology and twisted equivariant K-theory are both related to the representations of loop groups. After making these relationships precise, we propose a map from twisted equivariant elliptic cohomology to twisted K-theory of the inertia stack using equivariant de Rham models. This proposal agrees with the Freed-Hopkins-Teleman q = 1 map from characters of representations of loop groups to distributions associated to twisted equivariant K-theory classes. Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2021-08-01 The student, Dileep Menon, accepted the attached license on 2019-05-24 at 15:54. The student, Dileep Menon, submitted this Dissertation for approval on 2019-05-24 at 16:06. This Dissertation was approved for publication on 2019-05-28 at 10:50. DSpace SAF Submission Ingestion Package generated from Vireo submission #13991 on 2019-11-26 at 13:00:58 Made available in DSpace on 2019-11-26T20:49:00Z (GMT). No. of bitstreams: 4 MENON-DISSERTATION-2019.pdf: 528838 bytes, checksum: fbe8f9b0e3bd2fbc0c4e207d94ba6cdd (MD5) thesis-ex.tex: 116427 bytes, checksum: 1eb2193b9661caa6b07eb1f864882e78 (MD5) thesisbib.bib: 7057 bytes, checksum: 2f604815e6b22de4a7bd0bec92caf53a (MD5) LICENSE.txt: 4209 bytes, checksum: ef4b73600b176b70c7c9713536cda315 (MD5) Previous issue date: 2019-05-28 Embargo set by: Seth Robbins for item 112889 Lift date: 2021-11-26T20:49:41Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system U of I Only Restriction Lifted for Item 112889 on 2021-11-27T10:15:09Z. application/pdf http://hdl.handle.net/2142/105744 en © 2019 by Dileep Menon Elliptic Cohomology, K-Theory, Loop Groups Equivariant elliptic cohomology and twisted equivariant k-theory text text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.